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Finding the Third Proportional to 472,976 and 695,632

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Solution

The third proportional to 472,976 and 695,632 is: 1,023,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,976 : 695,632 = 695,632 : x
  2. Step 2: Convert to fraction form
    472,976/695,632 = 695,632/x
  3. Step 3: Cross multiply
    472,976x = 695,632 × 695,632
  4. Step 4: Simplify right side
    472,976x = 483,903,879,424
  5. Step 5: Solve for x
    x = 483,903,879,424/472,976
  6. Step 6: Final answer
    x = 1,023,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.